Gesamtkunstwerk means "A total work of art"... Indeed our own idea of the fourth way, the synthesis of death, life and dream, using the "narration" tool to create... our lives. Welcome in this new step of the mutation process which brung next rADio eNd.
It's another perfect horsnorme music example, so it's not relevant to link it to any musical styles.
About the influences you may find it linked to nothing else than the music of the two protagonists which is allready a lot because they are quite eclectics : Gabriel Pereira Spurr & Yoshiwaku Mushotoku